1982802240 has 336 divisors, whose sum is σ = 7249290048. Its totient is φ = 515579904.

The previous prime is 1982802229. The next prime is 1982802313. The reversal of 1982802240 is 422082891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1982802195 and 1982802204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343384 + ... + 3343976.

It is an arithmetic number, because the mean of its divisors is an integer number (21575268).

Almost surely, 2^1982802240 is an apocalyptic number.

1982802240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624645024).

1982802240 is an abundant number, since it is smaller than the sum of its proper divisors (5266487808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1982802240 is an equidigital number, since it uses as much as digits as its factorization.

1982802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1982802240 is about 44528.6676198604. The cubic root of 1982802240 is about 1256.2993458006.

The spelling of 1982802240 in words is "one billion, nine hundred eighty-two million, eight hundred two thousand, two hundred forty".